Respuesta :

We have the equation of the line in point-slope form is

[tex](y-y_1)=m(x-x_1)[/tex]

where

m = slope = -9

(6,-7)=(x1,y1)

we substitute the values

[tex]\begin{gathered} (y+7)=-9(x-6) \\ \end{gathered}[/tex]

then we need to isolate y

[tex]\begin{gathered} y+7=-9x+54 \\ y=-9x+54-7 \\ y=-9x+47 \end{gathered}[/tex]

the equation of the line is

y=-9x+47

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